Find the common ratio and the three terms in the sequence after the last one given. -4, 16, -64, 256, …

The ratio of all the adjacent terms is the same and equal to

The next three terms after the last one will be:

Step-by-step explanation:

Given the sequence

-4, 16, -64, 256, …

Finding the common ratio

An arithmetic sequence has a constant ratio 'r' and is defined by  

computing the ratios of all the adjacent terms

The ratio of all the adjacent terms is the same and equal to

Finding the next three terms

Given the sequence

-4, 16, -64, 256, …

here

substituting and in the nth term

substituting n = 5 to determine the 5th term

substituting n = 6 to determine the 6th term

substituting n = 7 to determine the 6th term

Therefore, the next three terms after the last one will be:

a

step-by-step explanation:

jjddbdhid r